Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5115/682,5548/809
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 5115,5548
Greatest Common Factor of Numerators i.e. GCF of 5115,5548 is 1 .
LCM of Denominators means LCM of 682,809 as per the given fractions.
LCM of 682,809 is 551738 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5115,5548
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5115
List of positive integer factors of 5115 that divides 5115 without a remainder.
1,3,5,11,15,31,33,55,93,155,165,341,465,1023,1705,5115
Factors of 5548
List of positive integer factors of 5548 that divides 5548 without a remainder.
1,2,4,19,38,73,76,146,292,1387,2774,5548
Greatest Common Factor
We found the factors 5115,5548 . The biggest common factor number is the GCF number.
So the greatest common factor 5115,5548 is 1.
Lets's calculate LCM of 682,809
Given numbers has no common factors except 1. So, there LCM is their product i.e 551738
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/551738
Therefore, the GCF of Fractions 5115/682,5548/809 is 1/551738
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 682,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(682,809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(682,809) x common factors =1 x 1 = 1
LCM(682,809) = ( 682 × 809 ) / 1
LCM(682,809) = 551738 / 1
LCM(682,809) = 551738
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 5115/682, 5548/809?
Answer: GCF of Numerators as per given numbers 5115/682, 5548/809 is
GCF of Numerators i.e. for 5115,5548 is 1
LCM of denominators i.e. for 682,809 is 551738.
Thus, GCF of Fractions is 1/551738.Finally, GCF of Fractions for 5115/682, 5548/809 is 1/551738.